Global existence of smooth solution to nonlinear thermoviscoelastic system with clamped boundary conditions in solid-like materials

DOI10.1007/S002200050617zbMath0938.35003OpenAlexW2059602530MaRDI QIDQ1302022

Peicheng Zhu, Bo-ling Guo

Publication date: 22 June 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050617

zbMATH Keywords

a priori bounds of strainvelocity and temperature

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Boundary value problems for nonlinear higher-order PDEs (35G30) A priori estimates in context of PDEs (35B45) Linear constitutive equations for materials with memory (74D05)

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A dynamic thermoviscoelastic problem: an existence and uniqueness result

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